88990272000 has 960 divisors, whose sum is σ = 382781393280. Its totient is φ = 20321280000.

The previous prime is 88990271989. The next prime is 88990272029. The reversal of 88990272000 is 27209988.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84671475 + ... + 84672525.

It is an arithmetic number, because the mean of its divisors is an integer number (398730618).

Almost surely, 2^88990272000 is an apocalyptic number.

88990272000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88990272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191390696640).

88990272000 is an abundant number, since it is smaller than the sum of its proper divisors (293791121280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88990272000 is a wasteful number, since it uses less digits than its factorization.

88990272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 88990272000 in words is "eighty-eight billion, nine hundred ninety million, two hundred seventy-two thousand".